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18067481136 = 2433178093041
BaseRepresentation
bin10000110100111001…
…111110001000110000
31201122011011010202000
4100310321332020300
5244000233344021
612144452454000
71206505025055
oct206471761060
951564133660
1018067481136
117731692aa1
12360291a300
13191c1c9753
14c3579502c
1570b287b26
hex434e7e230

18067481136 has 160 divisors (see below), whose sum is σ = 54996926400. Its totient is φ = 5659361280.

The previous prime is 18067481071. The next prime is 18067481167. The reversal of 18067481136 is 63118476081.

18067481136 is a `hidden beast` number, since 1 + 80 + 67 + 481 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18067481091 and 18067481100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5939776 + ... + 5942816.

It is an arithmetic number, because the mean of its divisors is an integer number (343730790).

Almost surely, 218067481136 is an apocalyptic number.

18067481136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18067481136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498463200).

18067481136 is an abundant number, since it is smaller than the sum of its proper divisors (36929445264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18067481136 is a wasteful number, since it uses less digits than its factorization.

18067481136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 18067481136 in words is "eighteen billion, sixty-seven million, four hundred eighty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 809 816 918 1224 1618 1836 2427 2448 3041 3236 3672 4854 6082 6472 7281 7344 9123 9708 12164 12944 13753 14562 18246 19416 21843 24328 27369 27506 29124 36492 38832 41259 43686 48656 51697 54738 55012 58248 72984 82107 82518 87372 103394 109476 110024 116496 123777 145968 155091 164214 165036 174744 206788 218952 220048 247554 310182 328428 330072 349488 371331 413576 437904 465273 495108 620364 656856 660144 742662 827152 930546 990216 1240728 1313712 1395819 1485324 1861092 1980432 2460169 2481456 2791638 2970648 3722184 4920338 5583276 5941296 7380507 7444368 9840676 11166552 14761014 19681352 22141521 22333104 29522028 39362704 41822873 44283042 59044056 66424563 83645746 88566084 118088112 125468619 132849126 167291492 177132168 250937238 265698252 334582984 354264336 376405857 501874476 531396504 669165968 752811714 1003748952 1062793008 1129217571 1505623428 2007497904 2258435142 3011246856 4516870284 6022493712 9033740568 18067481136